PMID: 11308784Apr 20, 2001Paper

Twisted localized modes

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Panayotis G KevrekidisK Ø Rasmussen

Abstract

In a number of recent papers the so-called twisted localized mode of the discrete nonlinear Schrödinger equation has been proposed. Herein, we study the existence and stability properties of such modes. We analyze the persistence of quasiperiodic modes and study the domains of existence and numerical stability of the exact form of such solutions. We identify the bifurcations through which they lose their stability and follow the behavior of the intrinsic localized modes and their eigenmodes even in the unstable regime.

References

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Citations

Mar 21, 2005·Optics Express·Zhigang ChenJianke Yang
Aug 11, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P G Kevrekidis
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Boris A MalomedA N Yannacopoulos
Aug 11, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P G KevrekidisA R Bishop
Aug 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P G Kevrekidis, V V Konotop
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hadi Susanto, Magnus Johansson
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P G KevrekidisA R Bishop
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P G KevrekidisD J Frantzeskakis
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·J HudockD N Christodoulides
Nov 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jesús CuevasP G Kevrekidis
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P G KevrekidisYu B Gaididei
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Konstantinos G Makris, Demetrios N Christodoulides
Aug 11, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B A Malomed, P G Kevrekidis
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R L HorneN Whitaker
Jan 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P G KevrekidisD J Frantzeskakis
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Nikolaos K Efremidis, Demetrios N Christodoulides
Mar 23, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Andrey A Sukhorukov, Yuri S Kivshar

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